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• W2996002162 abstract "This paper is concerned with the existence and further properties of propagation speeds of transition fronts for bistable reaction-diffusion equations in exterior domains and in some domains with multiple cylindrical branches. In exterior domains we show that all transition fronts propagate with the same global mean speed, which turns out to be equal to the uniquely defined planar speed. In domains with multiple cylindrical branches, we show that the solutions emanating from some branches and propagating completely are transition fronts propagating with the unique planar speed. We also give some geometrical and scaling conditions on the domain, either exterior or with multiple cylindrical branches, which guarantee that any transition front has a global mean speed. Cet article porte sur l'existence et les propriétés des vitesses de propagation de fronts de transition pour des équations de réaction-diffusion bistables dans des domaines extérieurs et dans des domaines avec branches cylindriques multiples. Dans les domaines extérieurs, nous montrons que tous les fronts de transition se propagent avec la même vitesse globale moyenne, qui s'avère être l'unique vitesse des fronts plans. Dans les domaines avec branches cylindriques multiples, nous montrons que les solutions émanant de certaines branches et se propageant complètement sont des fronts de transition se propageant avec la vitesse des fronts plans. Nous donnons également des conditions géométriques et des conditions de taille sur les domaines, extérieurs ou avec branches cylindriques multiples, garantissant l'existence d'une vitesse globale moyenne pour n'importe quel front de transition." @default.
• W2996002162 created "2019-12-26" @default.
• W2996002162 creator A5045752660 @default.
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• W2996002162 date "2020-04-01" @default.
• W2996002162 modified "2023-10-18" @default.
• W2996002162 title "On the mean speed of bistable transition fronts in unbounded domains" @default.
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• W2996002162 doi "https://doi.org/10.1016/j.matpur.2020.02.002" @default.
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